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Finding the Fourth Proportional to 364,544.58, 502,869.34 and 213,612.42

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Solution

The fourth proportional to 364,544.58, 502,869.34 and 213,612.42 is: 294,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,544.58 : 502,869.34 = 213,612.42 : x
  2. Step 2: Convert to fraction form
    364,544.58/502,869.34 = 213,612.42/x
  3. Step 3: Cross multiply
    364,544.58x = 502,869.34 × 213,612.42
  4. Step 4: Simplify right side
    364,544.58x = 107,419,136,661.20
  5. Step 5: Solve for x
    x = 107,419,136,661.20/364,544.58
  6. Step 6: Final answer
    x = 294,666.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.